## kenneyfamily Group Title Write an equation of the sine function with: amplitude = 7 period = 3π phase shift = π vertical shift = -7 one year ago one year ago

1. Kelumptus Group Title

So lets think about what these things mean... Are you familiar with amplitude?

2. kenneyfamily Group Title

not really :(

3. Kelumptus Group Title

OK, Amplitude is how much to 'amplify' the function by.

4. Kelumptus Group Title

or you could say, multiply.

5. Kelumptus Group Title

If you have 5Sin(x) then its amplitude is 5 (the wave will hit a maximum of 5 and a minimum of -5.

6. kenneyfamily Group Title

ok got it

7. Kelumptus Group Title

So hopefully that explains amplitude. The period is the length of a wave before it starts repeating itself. The usual period of a sine function is 2Pi as the wave will begin to repeat after that point in time. I.e. period of Sin(x) is 2Pi. Is this making sense so far?

8. kenneyfamily Group Title

so its 7sinx

9. Kelumptus Group Title

yep, thats right, 7 sin x (for the amplitude part)

10. UnkleRhaukus Group Title

$y(x)=A\sin(\omega t+\phi)+b$ $$A$$ is the Amplitude $$\omega$$ is the angular frequency $$\frac{\omega}{2\pi}=$$frequency of oscillation $$\tau$$ is the period and $$\tau=\frac{2\pi}{\omega}$$ $$\phi$$ is the phase shift $$b$$ is the vertical shift

11. Kelumptus Group Title

You are best of taking a look at http://www.intmath.com/trigonometric-graphs/trigo-graph-intro.php. This will explain it properly.